Answer:
Thus the domain is the real numbers and the range is y>3.
Answer: Option C)
Step-by-step explanation:
Domain and Range of Functions
To determine the domain and range of a function given on a graph, we use the vertical and horizontal line methods respectively.
The domain consists of all the values of x for which the function exists. We are told that the function is an exponential decay. Exponential functions without specified restrictions have a domain of all the real numbers.
Imagine a vertical line moving from minus infinite x to plus infinite. The line would always cross the graph at one point, thus the domain is all the real numbers.
Now for the range, imagine a horizontal line coming from y minus infinite. It won't get in contact with the graph until it approaches y=3. Once it goes up y=3, the line touches the graph in one point up to infinity y. The range is y>3.
Thus the domain is the real numbers and the range is y>3.
Answer: Option C)
